M215: Applied Statistical Analysis

Course Objective This course is designed to give experience with the statistical tools that are available in Mathematica. Using real-world and simulated datasets, participants will import data, extract parts of the data based on various criteria, analyze the data, and visualize the results.

Presenter The course is presented by a Wolfram Research senior developer or a Wolfram Education Group certified instructor.

Target Audience The course is designed for people who work with data and wish to improve their skills at using Mathematica for performing statistical analyses of data. Typical attendees include engineers, physicists, analysts in finance, and those in the physical sciences and the life and medical sciences.

Delivery Type Courses are delivered as instructor-led classes in computer classroom facilities or as online classes over the web. Course topics are presented with alternating sessions of lectures and exercises. All classes feature low student-teacher ratios.

Syllabus

Computing basic descriptive statistics of data (mean, median, variance, etc.)
Visualizing statistical data, including box plots, scatter plots, and histograms
Computing and visualizing properties of continuous and discrete distributions, such as mean, PDF, CDF, expectations, and quantiles
Random number generation from continuous and discrete distributions
Hypothesis testing (including t-tests, z-tests, and chi-squared tests) and confidence intervals
Linear and nonlinear regression
Fitting generalized linear models
Obtaining and visualizing regression diagnostics
Data transformations
Models with nominal variables
Analysis of variance (ANOVA)
Robust regression via iterative reweighting
Maximum likelihood estimation
Curve fitting via ordinary least squares, alternative metrics, and merit functions

Course Materials Each attendee will be provided with Mathematica course notebooks and access to the current version of Mathematica. The course notebooks require Mathematica or Mathematica Player. For attendees participating in classroom-based sessions, course materials are distributed in print and on CD-ROM, and are yours to keep; a computer running Mathematica is available for your use during class. For attendees participating in online classes, a download of the course materials is provided; a temporary Mathematica training license is provided upon request.

Prerequisites Course attendees are expected to have basic familiarity with Mathematica approximately equivalent to that provided by "M101: A First Course in Mathematica." Attendees should also have basic knowledge of descriptive statistics, mathematical statistics (to a lesser extent), hypothesis testing, ANOVA, and regression.